4(x+2)+5(X+2)=3(2x+9)

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Solution for 4(x+2)+5(X+2)=3(2x+9) equation:


Simplifying
4(x + 2) + 5(X + 2) = 3(2x + 9)

Reorder the terms:
4(2 + x) + 5(X + 2) = 3(2x + 9)
(2 * 4 + x * 4) + 5(X + 2) = 3(2x + 9)
(8 + 4x) + 5(X + 2) = 3(2x + 9)

Reorder the terms:
8 + 4x + 5(2 + X) = 3(2x + 9)
8 + 4x + (2 * 5 + X * 5) = 3(2x + 9)
8 + 4x + (10 + 5X) = 3(2x + 9)

Reorder the terms:
8 + 10 + 5X + 4x = 3(2x + 9)

Combine like terms: 8 + 10 = 18
18 + 5X + 4x = 3(2x + 9)

Reorder the terms:
18 + 5X + 4x = 3(9 + 2x)
18 + 5X + 4x = (9 * 3 + 2x * 3)
18 + 5X + 4x = (27 + 6x)

Solving
18 + 5X + 4x = 27 + 6x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + 5X + -18 + 4x = 27 + -18 + 6x

Reorder the terms:
18 + -18 + 5X + 4x = 27 + -18 + 6x

Combine like terms: 18 + -18 = 0
0 + 5X + 4x = 27 + -18 + 6x
5X + 4x = 27 + -18 + 6x

Combine like terms: 27 + -18 = 9
5X + 4x = 9 + 6x

Add '-4x' to each side of the equation.
5X + 4x + -4x = 9 + 6x + -4x

Combine like terms: 4x + -4x = 0
5X + 0 = 9 + 6x + -4x
5X = 9 + 6x + -4x

Combine like terms: 6x + -4x = 2x
5X = 9 + 2x

Divide each side by '5'.
X = 1.8 + 0.4x

Simplifying
X = 1.8 + 0.4x

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